Master Complete Statistics For Computer Science – I

COURSE AUTHOR –
Shilank Singh

Last Updated on March 7, 2023 by GeeksGod

In today’s engineering curriculum, topics on probability and statistics play a major role, as the statistical methods are very helpful in analyzing the data and interpreting the results.

When an aspiring engineering student takes up a project or research work, statistical methods become very handy.

Hence, the use of a well-structured course on probability and statistics in the curriculum will help students understand the concept in depth, in addition to preparing for examinations such as for regular courses or entry-level exams for postgraduate courses.

In order to cater the needs of the engineering students, content of this course, are well designed. In this course, all the sections are well organized and presented in an order as the contents progress from basics to higher level of statistics.

As a result, this course is, in fact, student friendly, as I have tried to explain all the concepts with suitable examples before solving problems.

This 150+ lecture course includes video explanations of everything from Random Variables, Probability Distribution, Statistical Averages, Correlation, Regression, Characteristic Function, Moment Generating Function and Bounds on Probability, and it includes more than 90+ examples (with detailed solutions) to help you test your understanding along the way. “Master Complete Statistics For Computer Science – I” is organized into the following sections:

IntroductionDiscrete Random VariablesContinuous Random VariablesCumulative Distribution FunctionSpecial DistributionTwo – Dimensional Random VariablesRandom VectorsFunction of One Random VariableOne Function of Two Random VariablesTwo Functions of Two Random Variables Measures of Central TendencyMathematical Expectations and MomentsMeasures of DispersionSkewness and KurtosisStatistical Averages – Solved ExamplesExpected Values of a Two-Dimensional Random VariablesLinear CorrelationCorrelation CoefficientProperties of Correlation CoefficientRank Correlation CoefficientLinear RegressionEquations of the Lines of RegressionStandard Error of Estimate of Y on X and of X on YCharacteristic Function and Moment Generating FunctionBounds on Probabilities

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What you will learn :

1. Random Variables
2. Discrete Random Variables and its Probability Mass Function
3. Continuous Random Variables and its Probability Density Function
4. Cumulative Distribution Function and its properties and application
5. Special Distribution
6. Two – Dimensional Random Variables
7. Marginal Probability Distribution
8. Conditional Probability Distribution
9. Independent Random Variables
10. Function of One Random Variable
11. One Function of Two Random Variables
12. Two Functions of Two Random Variables
13. Statistical Averages
14. Measures of Central Tendency (Mean, Median, Mode, Geometric Mean and Harmonic Mean)
15. Mathematical Expectations and Moments
16. Measures of Dispersion (Quartile Deviation, Mean Deviation, Standard Deviation and Variance)
17. Skewness and Kurtosis
18. Expected Values of Two-Dimensional Random Variables
19. Linear Correlation
20. Correlation Coefficient and its properties
21. Rank Correlation Coefficient
22. Linear Regression
23. Equations of the Lines of Regression
24. Standard Error of Estimate of Y on X and of X on Y
25. Characteristic Function and Moment Generating Function
26. Bounds on Probabilities

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